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math.RA2026
From Eigenvalues/Eigenvectors of Hypermatrices to Canonical Form of Tensors
Daizhan Cheng
The rings of non-square matrices based on dimension-keeping (DK-) semi-tensor product (STP) are considered. Using the ring structure to hypermatrices, four kinds of eigenvalues/eig…
math.RA2026
t-Product and t-STP of Cubic Matrices With Application to Hyper-Networked Systems
Daizhan Cheng, Zhengping Ji
Motivated by the study of dynamic control systems, this paper proposes novel algebraic operations on cubic matrices to construct both linear and nonlinear controlled dynamics. The…